Question

The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.​

Answer 1

Explanation:

CSA of cylinder 440 cm sq.

Volume 1540 cm cube.

Answer 2

• CSA of the cylinder = 440 sq. cm

• Volume of the cylinder = 1540 cu. cm

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Explanation:

Given:

• Radius of the cylinder = 7 cm
• Height of the cylinder = 10 cm

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To Find:

• Curved surface area
• Volume

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Solution:

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Using formula:

`\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA \: of \: cylinder = 2\pi rh}}}}}} \: \star \\ \\`

Substituting the required values:

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`\dashrightarrow \: \: \sf CSA {(cylinder)} = 2 * (22)/(7) * 7 * 10 \\ \\ \\ </p><p> \dashrightarrow \: \: \sf CSA {(cylinder)} = 2 * 22 * 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 44 * 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 440 \: {cm}^(2) \\ \\ \\`

Now,

`\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}= \pi {r}^(2) h}}}}}} \: \star \\ \\ \\`

Substituting the required values,

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`\dashrightarrow \: \: \sf Volume {(cylinder)}= (22)/(7) * {(7)}^(2) * 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= (22)/(7) * 49 * 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 22 * 7 * 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 1540 {cm}^(3) \\ \\ \\`

Hence,

• CSA of the cylinder = 440 sq. cm

• Volume of the cylinder = 1540 cu. cm